Andreas Honecker 1, Jesper-Lykke Jacobsen 2, Marco Picco 3, Pierre Pujol 4
We study the universality class of the fixed points of the 2D random bond q-state Potts model by means of numerical transfer matrix methods. In particular, we determine the critical exponents associated with the fixed point on the Nishimori line. Precise measurements show that the universality class of this fixed point is inconsistent with percolation on Potts clusters for q=2, corresponding to the Ising model, and q=3
- 1. Technische Universität Braunschweig,
Technische Universität Braunschweig - 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud - 3. Laboratoire de Physique Théorique et Hautes Energies (LPTHE),
CNRS : UMR7589 – Université Paris VI – Pierre et Marie Curie – Université Paris VII – Paris Diderot - 4. Laboratoire de Physique de l’ENS Lyon (Phys-ENS),
CNRS : UMR5672 – École Normale Supérieure – Lyon